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\(\frac{\left(-2\right)^3.3^3.5^3.7.8}{3.2^4.5^3.14}=\frac{\left(-2\right)^3.3^3.5^3.7.2^3}{3.2^4.5^3.2.7}=\)\(\frac{\left(-2\right)^6.3^3.5^3.7}{3.2^5.5^3.7}=\frac{-2.3^2}{1}=-18\)
~~~ học tốt ~~~
\(\frac{9^{14}.25^5.8^7}{8^{12}.615^3.25^3}\)
\(=\frac{\left(3^3\right)^{14}.\left(5^2\right)^5.8^7}{8^{12}.\left(3.5.41\right)^3.\left(5^2\right)^3}\)
\(=\frac{3^{42}.5^{10}.8^7}{8^{12}.3^3.5^7.41^3}\)
\(=\frac{3^{39}.5^3}{8^5.41^3}\)
\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{\left(2.3^2\right)^{12}.\left(5^4\right)^3.\left(3.2^3\right)^3}=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.3^3.2^9}=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{27}.5^{12}}=\frac{3}{5^2}=\frac{3}{25}\)
\(\frac{\left(-5\right)^3.40.4^3}{125.\left(-2\right)^{14}.\left(-1000\right)^0}\)
\(=\frac{\left(-125\right).40.64}{125.16384.1}\)
\(=\frac{\left(-1\right).5}{1.32.1}=-\frac{5}{32}\)
\(\frac{\left(-5\right)^3.40.4^3}{125.\left(-2\right)^{14}.\left(-1000\right)^0}\)
\(=\frac{\left(-5\right)^3.2^3.5.\left(2^2\right)^3}{5^3.2^{14}.1}\)
\(=\frac{\left(-5\right)^3.2^3.5.2^6}{5^3.2^{14}}\)
\(=\frac{\left(-5\right)^3.2^9.5}{5^3.2^{14}}\)
\(=\frac{-5}{2^5}\)
\(=\frac{-5}{32}\)
=-(2.3^3.5^3.7.2^3)/3.2^3.3.5^3.2.7
=-(2^4.3^3.5^3.7)/3^2.2^4.5^3.7
=-(1.3.1.1)/1.1.1.1
=-3/1=-3